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Finding the Fourth Proportional to 5,314.51, 7,968.52 and 2,024.09

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Solution

The fourth proportional to 5,314.51, 7,968.52 and 2,024.09 is: 3,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.51 : 7,968.52 = 2,024.09 : x
  2. Step 2: Convert to fraction form
    5,314.51/7,968.52 = 2,024.09/x
  3. Step 3: Cross multiply
    5,314.51x = 7,968.52 × 2,024.09
  4. Step 4: Simplify right side
    5,314.51x = 16,129,001.65
  5. Step 5: Solve for x
    x = 16,129,001.65/5,314.51
  6. Step 6: Final answer
    x = 3,034.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.